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Finding the Third Proportional to 200,253 and 279,966

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Solution

The third proportional to 200,253 and 279,966 is: 391,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,253 : 279,966 = 279,966 : x
  2. Step 2: Convert to fraction form
    200,253/279,966 = 279,966/x
  3. Step 3: Cross multiply
    200,253x = 279,966 × 279,966
  4. Step 4: Simplify right side
    200,253x = 78,380,961,156
  5. Step 5: Solve for x
    x = 78,380,961,156/200,253
  6. Step 6: Final answer
    x = 391,409.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.